Pith Number

pith:B4VK4Y22

pith:2014:B4VK4Y22ZFJEY63QPHJKCJVZBY

not attested not anchored not stored refs pending

Massless two-loop "master" and three-loop two point function in NDIM

Alfredo Takashi Suzuki

arxiv:1408.4064 v1 · 2014-08-18 · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B4VK4Y22ZFJEY63QPHJKCJVZBY}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:44:57.319783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f2aae635ac9524c7b7079d2a126b90e283f385dc4d3a37e9444625e000cb983

Aliases

arxiv: 1408.4064 · arxiv_version: 1408.4064v1 · doi: 10.48550/arxiv.1408.4064 · pith_short_12: B4VK4Y22ZFJE · pith_short_16: B4VK4Y22ZFJEY63Q · pith_short_8: B4VK4Y22

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/B4VK4Y22ZFJEY63QPHJKCJVZBY \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 0f2aae635ac9524c7b7079d2a126b90e283f385dc4d3a37e9444625e000cb983

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b124159ab37565100fe342f8b948c6edd8f5f5e0e62d38110eed17b776c7cdc1",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-08-18T17:18:38Z",
    "title_canon_sha256": "4a53e9c460afeb7c49ff1dc80e4a05a5881c20eb89fc794c5c3d9f9711be5aac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.4064",
    "kind": "arxiv",
    "version": 1
  }
}